摘要
本文证明了,在序线性拓扑空间中,若目标映射为惟一次类凸时,一般向量极值问题的Renson真有效解和Borwein真有效解概念是等价的,并给出了几个有关真有效解的标量化结果.
Under the cone-subconvexlike assumption of the objective mapping,we prove the equivalence of the Benson's properly efflcient solution and the Borwein's properly efficient solution for general vector extremal problems in ordered linear topological spaces.Some scalarization results for properly efficient solutions are al- so presented.
出处
《内蒙古大学学报（自然科学版）》
CAS
CSCD
1992年第2期152-156,共5页
Journal of Inner Mongolia University：Natural Science Edition
关键词
向量极值
真有效解
锥一次类凸
cone-subconvexlike mapping
vector extremal problem
scalarization problem
properly efficient solution
